Functions Question 104
Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{1-\cos x}{x}= $
[AI CBSE 1987; AISSE 1987]
Options:
A) 0
B) $ \frac{1}{2} $
C) $ \frac{1}{3} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \underset{x\to 0}{\mathop{\lim }}\frac{2,{{\sin }^{2}}(x/2)}{x}=0. $ Aliter : Apply L-Hospital?s rule.